Scenario B.6
The Jackson Machine Company has four cutting tools that need to be refurbished after an average of 30 hours, according to an exponential distribution. The single machine that refurbishes the tools needs 15 hours for each tool on the average, with exponential service times.
-Use the information in Scenario B.6. What is the average utilization of the refurbishing machine?
A) less than or equal to 40 percent
B) greater than 40 percent but less than or equal to 50 percent
C) greater than 50 percent but less than or equal to 60 percent
D) greater than 60 percent

Question

Quizplus · Accepted Answer

To calculate the average utilization of the refurbishing machine, we need to calculate the average service time and average arrival rate. The average service time is given as 15 hours per tool. The average arrival rate is 1/30 tools per hour since the four cutting tools need to be refurbished every 30 hours on average. Therefore, the average utilization of the refurbishing machine is (15/1/30) * 100% = 450%, which is greater than 60%. Therefore, the answer is D, greater than 60%.

Scenario B.6 The Jackson Machine Company Has Four Cutting Tools That Need